A closed equation in time domain for band-limited extensions of one-sided sequences
This paper suggests a method of optimal extension of one-sided semi-infinite sequences of a general type by traces of band-limited sequences in deterministic setting, i.e., without probabilistic assumptions. The method requires to solve a closed linear equation in the time domain connecting the past...
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| Format: | Journal Article |
| Published: |
IEEE
2018
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| Online Access: | http://hdl.handle.net/20.500.11937/56862 |
| _version_ | 1848759955366084608 |
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| author | Dokuchaev, Nikolai |
| author_facet | Dokuchaev, Nikolai |
| author_sort | Dokuchaev, Nikolai |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper suggests a method of optimal extension of one-sided semi-infinite sequences of a general type by traces of band-limited sequences in deterministic setting, i.e., without probabilistic assumptions. The method requires to solve a closed linear equation in the time domain connecting the past observations of the underlying process with the future values of the band-limited process. Robustness of the solution with respect to the input errors and data truncation is established in the framework of Tikhonov regularization. |
| first_indexed | 2025-11-14T10:08:06Z |
| format | Journal Article |
| id | curtin-20.500.11937-56862 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:08:06Z |
| publishDate | 2018 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-568622018-01-10T07:39:03Z A closed equation in time domain for band-limited extensions of one-sided sequences Dokuchaev, Nikolai This paper suggests a method of optimal extension of one-sided semi-infinite sequences of a general type by traces of band-limited sequences in deterministic setting, i.e., without probabilistic assumptions. The method requires to solve a closed linear equation in the time domain connecting the past observations of the underlying process with the future values of the band-limited process. Robustness of the solution with respect to the input errors and data truncation is established in the framework of Tikhonov regularization. 2018 Journal Article http://hdl.handle.net/20.500.11937/56862 IEEE fulltext |
| spellingShingle | Dokuchaev, Nikolai A closed equation in time domain for band-limited extensions of one-sided sequences |
| title | A closed equation in time domain for band-limited extensions of one-sided sequences |
| title_full | A closed equation in time domain for band-limited extensions of one-sided sequences |
| title_fullStr | A closed equation in time domain for band-limited extensions of one-sided sequences |
| title_full_unstemmed | A closed equation in time domain for band-limited extensions of one-sided sequences |
| title_short | A closed equation in time domain for band-limited extensions of one-sided sequences |
| title_sort | closed equation in time domain for band-limited extensions of one-sided sequences |
| url | http://hdl.handle.net/20.500.11937/56862 |